A POWER-SERIES SOLUTION FOR A STRONGLY NON-LINEAR TWO-DEGREE-OF-FREEDOM SYSTEM

2000 ◽  
Vol 233 (3) ◽  
pp. 489-494 ◽  
Author(s):  
M.I. QAISI ◽  
A.W. KILANI
Keyword(s):  
Power Series ◽  
Series Solution ◽  
Degree Of Freedom ◽  
Power Series Solution ◽  
Non Linear ◽  
Two Degree Of Freedom

Optimal algebra and power series solution of fractional Black-Scholes pricing model

2021 ◽  
Vol 25 (8) ◽  
pp. 6075-6082
Author(s):  
Hemanta Mandal ◽  
B. Bira ◽  
D. Zeidan
Keyword(s):  
Power Series ◽  
Series Solution ◽  
Power Series Solution ◽  
Pricing Model ◽  
Black Scholes

Non-linear torsional oscillation of a two-degree-of-freedom system incorporating a Hooke joint

1964 ◽  
Vol 277 (1368) ◽  
pp. 92-106 ◽  
Keyword(s):  
Large Amplitude ◽  
Critical Speed ◽  
Torsional Oscillation ◽  
Degree Of Freedom ◽  
Non Linear ◽  
Two Degree Of Freedom

The non-linear torsional oscillation of the system is analyzed by means of a variant of Kryloff and Bogoliuboff’s method. It is shown that each mode of the system can perform oscillations of large amplitude in a number of critical speed ranges, and that hysteresis effects and discontinuous jumps in amplitude are to be expected in these speed ranges if the damping is light.

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